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The cost price of three types of cashew nuts are $₹482, ₹578$ and $₹698$ per kg respectively in what proportion this should be mixed so that the mixture cost $₹566$ per kg?

With three variables like this, there can be many possibilities.

see the following examples $₹482~(2\text{ kg}), ₹578~(3\text{ kg}),₹698~(1\text{ kg})\\\implies \dfrac{482×2+578×3+698×1}{2+3+1}\\\implies ₹566 \text{ per kg}$

$₹482~(24\text{ kg}), ₹578~(157\text{ kg}),₹698~(1\text{ kg})\\\implies \dfrac{482×24+578×157+698×1}{24+157+1}\\\implies ₹566 \text{ per kg}$